B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

Q: Q2 Perimeter of a rectangle is 84 inches. Find the dimensions of the rectangle that maximize the…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

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A:

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

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A:

Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

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A: To determine the intervals where the graph of  is concave upand concave down.Note: Since you have…

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A: The given function is

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A: All the answers are in the explanation part.Explanation: To sketch the graphs of solutions that…

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A:

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

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A:

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

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A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

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A: The domain of A(r) represents the valid value for the radius r for which the function A(r) is…

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A: The objective of this question is to find a parametric representation for the given paraboloid S and…

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A: We need to determine the graph of the derivative from the given graph.

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A:

Q: y= log(ln(2x)) , and explain why there is no y-intercept.  (an explanation of the problem and how to…

A: No y-intercept Explanation:

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A: The objective of the question is to find the Cartesian equation of the plane containing the points…

Q: × Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: ⟨−22​​,22​​⟩ 42​ Explanation:Given the function,f(x,y)=xy2​,(2,4) Let us solve for the gradient of…

Q: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

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A:

Q: Find all points where the function is discontinuous. 6 4 2- X 2 6 18 Q OA. x=2 and x = 4 OB. x=2 OC.…

A: As  is included in the domain   : Defined Function is continuous at x=2

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A:

Q: Solve the equation. 0.006x=25

A: x=536.48Explanation:Step 1: Take the logarithm of both sides lne0.006x=ln(25) Step 2: For the left…

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A: A)25​B)−25​ C)4π​Explanation:

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A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

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A:

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to 4 decimal places?

A: The objective of the question is to round the number 536.48 to 4 decimal places.

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A: The objective of this question is to find the nominal interest rate that would allow an investment…

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A:

Q: determine the laplace transform of; 3e^2t cosh 4t

A: The objective of this question is to find the Laplace transform of the function 3e^(2t) cosh(4t).…

Q: 1 3. Find the area under the curve y = x³ + 3 -x+4 from 0 to 2.

A: A=338​squareunitsExplanation:Step 1: Sketch the graph of the equation y=x3+31​x+4. The graph is…

Q: 5) Find the volume of the solid generated by revolving the triangular region with vertices (0,0),…

A: The objective of this question is to find the volume of the solid generated by revolving a…

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…

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A:

Q: Find the area under the curve y = √√2x + 3x from 1 to 3.

A: 15.9562Explanation:

Q: Use the One to One Property of Exponentiation to solve the following exponential equation. Input…

A: By using the one to one property of exponentiation to solve the following equation.

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A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

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A: So, After the differentiation the final answer for the question is:…

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A: 1(a)xcos(x3)=∑n=0∞​(2n)!(−1)nx6n+1​=x−2!x7​+4!x13​−6!x19​+...1(b)∫01​xcos(x3)dx=21​−161​+3361​=0.440…

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…